There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Averages. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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### Averages Starters:

Average Smile: Calculate the mean, median and range of the given scores.

Chin-Ups: Work out the number of chin ups the characters do on the last day of the week give information about averages.

Five Digits: Five digits have the same mean, median, mode and range.

House Numbers: The numbers on five houses next to each other add up to 70. What are those five numbers?

Seedy CDs: Interpret data given in the form of a bar chart then create a new bar chart showing the given statistics.

#### Digital Darts

An online darts game for one or two players requiring skill, strategy and mental arithmetic. It provides an enjoyable way to practise adding and subtracting two and three digit numbers.

### Curriculum for Averages:

#### Year 6

Pupils should be taught to calculate and interpret the mean as an average more...

#### Years 7 to 9

Pupils should be taught to describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers) more...

#### Years 10 and 11

Pupils should be taught to interpret, analyse and compare the distributions of data sets from univariate empirical distributions through appropriate graphical representation involving discrete, continuous and grouped data, {including box plots} and appropriate measures of central tendency (including modal class) and spread {including quartiles and inter-quartile range} more...

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Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

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"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access the whole month so I can use favourites with classes I see at different times of the week. Thanks."

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"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."

Comment recorded on the 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:

"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

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### Notes:

"Average" is a very general term that is used commonly in everyday English and most people have an idea what it means. Mathematicians like to be a little more precise however and have come up with a number of different ways of finding a measure of central tendency.

Pupils at school should develop their understanding of averages so that they can more precisely communicate information to others and are not misled by statistics presented in a way to distort the facts.

Pupils should understand and use the mean of discrete data. They should be able to compare two simple distributions using the range and one of the mode, median or mean.

### Averages Activities:

Averages: Test your understanding of averages with this self marking quiz about mean, median and range.

Box Plots: An exercise on reading and drawing box-and-whisker diagrams which represent statistical data.

Choose Your Average: This is a game for two players. You should know how to find the mean, median and range of a set of numbers.

Cumulative Frequency: Online exercises on cumulative frequency for discrete and grouped data with exam-style questions.

Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world.

### Averages Videos:

It's not hard (Averages song): A really zany video revising mean, median, mode and range

Mean, Median and Mode Song: A free trial lesson from Math Upgrade dot com.

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#### Circle Theorems Exercise

Show that you understand and can apply the circle theorems with this self marking exercise. So far this activity has been accessed 6854 times and 558 people have earned a Transum Trophy for completing it.

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